This table below gives the scores of a group of students in a Further Mathematics Test.
| Score | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Frequency | 4 | 6 | 8 | 4 | 10 | 6 | 2 |
Calculate the mean deviation for the distribution
- A. 4.32
- B. 2.81
- C. 1.51
- D. 3.90
This table below gives the scores of a group of students in a Further Mathematics Test.
| Score | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Frequency | 4 | 6 | 8 | 4 | 10 | 6 | 2 |
Find the mode of the distribution.
- A. 7
- B. 10
- C. 5
- D. 4
If M varies directly as N and inversely as the root of P. Given that M = 3, N = 5 and P = 25. Find the value of P when M = 2 and N = 6.
- A. 36
- B. 63
- C. 47
- D. 81
A binary operation Δ is defined by a Δ b = a + 3b + 2.
Find (3 Δ 2) Δ 5
- A. 35
- B. 59
- C. 28
- D. 87
A factory worker earns ₦50,000 per month out of which he spends 15% on his children’s education, ₦13,600 on Food, 3% on electricity and uses the rest for his personal purpose. How much does he have left?
- A. N21,850
- B. N18,780
- C. N27,400
- D. N32,500
Find the equation of the locus of a point A(x, y) which is equidistant from B(0, 2) and C(2, 1)
- A. 4x + 2y = 3
- B. 4x - 3y = 1
- C. 4x - 2y = 1
- D. 4x + 2y = -1
A bricklayer charges ₦1,500 per day for himself and ₦500 per day for his assistant. If a two bedroom flat was built for ₦95,000 and the bricklayer worked 10 days more than his assistant, how much did the assistant receive?
- A. N20,000
- B. N28,000
- C. N31,200
- D. N41,000
If \(25^{1 – x} \times 5^{x + 2} \div (\frac{1}{125})^{x} = 625^{-1}\), find the value of x.
- A. x = -4
- B. x = 2
- C. x = -2
- D. x = 4
Express \((0.0439 \div 3.62)\) as a fraction.
- A. \(\frac{21}{100}\)
- B. \(\frac{21}{1000}\)
- C. \(\frac{12}{1000}\)
- D. \(\frac{12}{100}\)
If the volume of a frustrum is given as \(V = \frac{\pi h}{3} (R^2 + Rr + r^2)\), find \(\frac{\mathrm d V}{\mathrm d R}\).
- A. \(\frac{\pi h}{3} (2R + r)\)
- B. \(2R + r + \frac{\pi h}{3}\)
- C. \(\frac{\pi h}{3} (2R^2 + r + 2r)\)
- D. \(\frac{2R^2}{3} \pi h\)
A man bought a car newly for ₦1,250,000. He had a crash with the car and later sold it at the rate of ₦1,085,000. What is the percentage gain or loss of the man?
- A. 43.7% loss
- B. 13.2% gain
- C. 13.2% loss
- D. 43.7% gain
Each of the interior angles of a regular polygon is 140°. Calculate the sum of all the interior angles of the polygon.
- A. 1080°
- B. 1260°
- C. 2160°
- D. 1800°
In the diagram above, O is the centre of the circle ABC, < ABO = 26° and < BOC = 130°. Calculate < AOC.
- A. 26°
- B. 13°
- C. 80°
- D. 102°
If \(P = (\frac{Q(R – T)}{15})^{\frac{1}{3}}\), make T the subject of the formula.
- A. \(T = \frac{15R - Q}{P^3}\)
- B. \(T = R - \frac{15P^3}{Q}\)
- C. \(T = \frac{R - 15P^3}{Q}\)
- D. \(T = \frac{R + P^3}{15Q}\)
Points X and Y are 20km North and 9km East of point O, respectively. What is the bearing of Y from X? Correct to the nearest degree.
- A. 24°
- B. 56°
- C. 127°
- D. 156°
Find the value of x and y in the simultaneous equation: 3x + y = 21; xy = 30
- A. x = 3 or 7, y = 12 or 8
- B. x = 6 or 1, y = 11 or 5
- C. x = 2 or 5, y = 15 or 6
- D. x = 1 or 5, y = 10 or 7
Simplify \(\frac{0.0839 \times 6.381}{5.44}\) to 2 significant figures.
- A. 0.2809
- B. 2.51
- C. 3.5
- D. 0.098
If 2\(^{x + y}\) = 16 and 4\(^{x – y} = \frac{1}{32}\), find the values of x and y.
- A. x = \(\frac{3}{4}\), y = \(\frac{11}{4}\)
- B. x = \(\frac{3}{4}\), y = \(\frac{13}{4}\)
- C. x = \(\frac{2}{3}\), y = \(\frac{4}{5}\)
- D. x = \(\frac{2}{3}\), y = \(\frac{13}{4}\)
Evaluate \((\frac{6}{0.32} \div \frac{2}{0.084})^{-1}\) correct to 1 decimal place.
- A. 1.3
- B. 2.5
- C. 4.6
- D. 3.2
The weight of a day-old chick was measured to be 0.21g. If the actual weight of the chick is 0.18g, what was the percentage error in the measurement?
- A. 15.5%
- B. 18.2%
- C. 14.8%
- D. 16.7%
The angles of a polygon are given by 2x, 5x, x and 4x respectively. The value of x is
- A. 31°
- B. 30°
- C. 26°
- D. 48°